The children were killed around 3 p.m. when the explosives -- in a pillow placed near a school wall -- went off as they were playing in Kandahar, said Ahmad Zia Durrani, a spokesman for police in southern Kandahar province.
The incident happened at a madrasa, or Islamic school, that has dormitories where students sleep.
It was not immediately clear who was behind the blast or if anyone intended for the explosives to go off near the schoolchildren.
Still, such bloodshed is all too common in Afghanistan.